Factorization: (x + Y-Z) (X-Y-Z) + (Y-X + Z) (y-x-z)

Factorization: (x + Y-Z) (X-Y-Z) + (Y-X + Z) (y-x-z)


(x+y-z)(x-y-z)+(y-x+z)(y-x-z)
=(x+y-z)(x-y-z)-(x-y-z)(y-x-z)
=(x-y-z)(x+y-z-y+x+z)
=(x-y-z)2x
=2x(x-y-z)



Simple calculation: 4.3-2.45 + 5.7-4.55


4.3-2.45+5.7-4.55
=4.3+5.7-(2.45+4.55)
=10-7
=3



Factorization (simple) (18 22:16:52)
-2X+6X2  -3X3                           X2(X-Y)+(Y-X)Y2


-2X+6X^2-3X^3
=X(-2X+6X^2-3X^3)
=X(-2+6X-3X^2)
=-X(3X^2-6X+2)
X^2(X-Y)+(Y-X)Y^2
=X^2(X-Y)-(X-Y)Y^2
=(X-Y)(X^2-Y^2)
=(X-Y)(X-Y)(X+Y)
=(X-Y)^2(X+Y)